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Finding the Third Proportional to 18,870 and 20,829

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Solution

The third proportional to 18,870 and 20,829 is: 22,991.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,870 : 20,829 = 20,829 : x
  2. Step 2: Convert to fraction form
    18,870/20,829 = 20,829/x
  3. Step 3: Cross multiply
    18,870x = 20,829 × 20,829
  4. Step 4: Simplify right side
    18,870x = 433,847,241
  5. Step 5: Solve for x
    x = 433,847,241/18,870
  6. Step 6: Final answer
    x = 22,991.37

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.